5. Draw a Venn diagram to represent the following conditional statement. A number is an integer if it is a whole number.

To represent the conditional statement "A number is an integer if it is a whole number" using a Venn diagram, we can follow these steps: 1. **Identify the Sets**: - Let Set A represent "Whole Numbers". - Let Set B represent "Integers". 2. **Understanding the Relationship**: - Whole numbers include all non-negative integers: 0, 1, 2, 3, etc. - Integers include all whole numbers as well as negative whole numbers: ..., -3, -2, -1, 0, 1, 2, 3, ... 3. **Drawing the Venn Diagram**: - Draw two circles that overlap. - Label one circle as "Whole Numbers" (Set A) and the other as "Integers" (Set B). - Since all whole numbers are integers, the circle for Whole Numbers (Set A) will be entirely within the circle for Integers (Set B). Here’s a textual representation of the Venn diagram: ``` +-------------------+ | | | Integers | | | | +-----------+ | | | Whole | | | | Numbers | | | +-----------+ | | | +-------------------+ ``` In this diagram: - The larger circle represents all integers. - The smaller circle inside it represents whole numbers, indicating that every whole number is also an integer, which aligns with the conditional statement provided.